Encyclopedia > Disjunction elimination

Article Content

Disjunction elimination

In propositional calculus disjunction elimination is the inference that, if A or B is true, and both A and B entail C, then we may justifiably infer C.

For example, it's true that either I'm inside or I'm outside. It's also true that if I'm inside, I have my wallet on me. It's also true that if I'm outside, I have my wallet on me. Given these three premises, it follows that I have my wallet on me.

Formally:

  ( A ∨ B )
  ( A → C )
  ( B → C )
  ∴ C

All Wikipedia text is available under the terms of the GNU Free Documentation License

Search Encyclopedia

Search over one million articles, find something about almost anything!

Featured Article

Jamesport, New York

... density is 133.3/km² (345.1/mi²). There are 959 housing units at an average density of 83.8/km² (216.9/mi²). The racial makeup of the town is 98.03% ...